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Finding the Fourth Proportional to 722.25, 995.76 and 459.81

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Solution

The fourth proportional to 722.25, 995.76 and 459.81 is: 633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.25 : 995.76 = 459.81 : x
  2. Step 2: Convert to fraction form
    722.25/995.76 = 459.81/x
  3. Step 3: Cross multiply
    722.25x = 995.76 × 459.81
  4. Step 4: Simplify right side
    722.25x = 457,860.41
  5. Step 5: Solve for x
    x = 457,860.41/722.25
  6. Step 6: Final answer
    x = 633.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.